220400542032 has 160 divisors (see below), whose sum is σ = 655010219520. Its totient is φ = 63157685760.

The previous prime is 220400542001. The next prime is 220400542069. The reversal of 220400542032 is 230245004022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 220400541993 and 220400542011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5568103 + ... + 5607545.

It is an arithmetic number, because the mean of its divisors is an integer number (4093813872).

Almost surely, 2^220400542032 is an apocalyptic number.

220400542032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220400542032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327505109760).

220400542032 is an abundant number, since it is smaller than the sum of its proper divisors (434609677488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220400542032 is a wasteful number, since it uses less digits than its factorization.

220400542032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40041 (or 40035 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 220400542032 its reverse (230245004022), we get a palindrome (450645546054).

The spelling of 220400542032 in words is "two hundred twenty billion, four hundred million, five hundred forty-two thousand, thirty-two".